1313625600 has 600 divisors, whose sum is σ = 5587069488. Its totient is φ = 298598400.

The previous prime is 1313625539. The next prime is 1313625601. The reversal of 1313625600 is 65263131.

1313625600 is a `hidden beast` number, since 1 + 3 + 1 + 36 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1313625600² = 3451224433950720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257510 + ... + 7257690.

Almost surely, 2^1313625600 is an apocalyptic number.

1313625600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793534744).

1313625600 is an abundant number, since it is smaller than the sum of its proper divisors (4273443888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313625600 is an equidigital number, since it uses as much as digits as its factorization.

1313625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1313625600 is about 36243.9732921213. The cubic root of 1313625600 is about 1095.1926851758.

Adding to 1313625600 its reverse (65263131), we get a palindrome (1378888731).

The spelling of 1313625600 in words is "one billion, three hundred thirteen million, six hundred twenty-five thousand, six hundred".