1013125600 has 72 divisors (see below), whose sum is σ = 2603505240. Its totient is φ = 383915520.

The previous prime is 1013125583. The next prime is 1013125627. The reversal of 1013125600 is 65213101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18127 + ... + 48526.

It is an arithmetic number, because the mean of its divisors is an integer number (36159795).

Almost surely, 2^1013125600 is an apocalyptic number.

1013125600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013125600 is an abundant number, since it is smaller than the sum of its proper divisors (1590379640).

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

1013125600 is a wasteful number, since it uses less digits than its factorization.

1013125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66692 (or 66679 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1013125600 is about 31829.6339909839. The cubic root of 1013125600 is about 1004.3561960014.

Adding to 1013125600 its reverse (65213101), we get a palindrome (1078338701).

The spelling of 1013125600 in words is "one billion, thirteen million, one hundred twenty-five thousand, six hundred".