1553148100 has 81 divisors (see below), whose sum is σ = 3927565677. Its totient is φ = 531562080.

The previous prime is 1553148097. The next prime is 1553148119. The reversal of 1553148100 is 18413551.

The square root of 1553148100 is 39410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 559133316 + 994014784 = 23646^2 + 31528^2 .

It is a super-2 number, since 2×1553148100² = 4824538041067220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) 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 (28).

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 26 ways as a sum of consecutive naturals, for example, 2758419 + ... + 2758981.

Almost surely, 2^1553148100 is an apocalyptic number.

1553148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1553148100 is the 39410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553148100

1553148100 is an abundant number, since it is smaller than the sum of its proper divisors (2374417577).

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

1553148100 is an equidigital number, since it uses as much as digits as its factorization.

1553148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The cubic root of 1553148100 is about 1158.0774982611.

The spelling of 1553148100 in words is "one billion, five hundred fifty-three million, one hundred forty-eight thousand, one hundred".