10251157504 has 135 divisors (see below), whose sum is σ = 24061823877. Its totient is φ = 4354473984.

The previous prime is 10251157487. The next prime is 10251157591. The reversal of 10251157504 is 40575115201.

The square root of 10251157504 is 101248.

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., 180633600 + 10070523904 = 13440^2 + 100352^2 .

It is a super-3 number, since 3×10251157504³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90718152 + ... + 90718264.

Almost surely, 2^10251157504 is an apocalyptic number.

10251157504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10251157504 is the 101248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251157504

10251157504 is an abundant number, since it is smaller than the sum of its proper divisors (13810666373).

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

10251157504 is an frugal number, since it uses more digits than its factorization.

10251157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The spelling of 10251157504 in words is "ten billion, two hundred fifty-one million, one hundred fifty-seven thousand, five hundred four".