10351625152 has 112 divisors (see below), whose sum is σ = 23217859584. Its totient is φ = 4536576000.

The previous prime is 10351625143. The next prime is 10351625257. The reversal of 10351625152 is 25152615301.

It is a super-2 number, since 2×10351625152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7223028 + ... + 7224460.

Almost surely, 2^10351625152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10351625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608929792).

10351625152 is an abundant number, since it is smaller than the sum of its proper divisors (12866234432).

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

10351625152 is a wasteful number, since it uses less digits than its factorization.

10351625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 10351625152 in words is "ten billion, three hundred fifty-one million, six hundred twenty-five thousand, one hundred fifty-two".