10151511552 has 480 divisors, whose sum is σ = 36963134208. Its totient is φ = 2610413568.

The previous prime is 10151511551. The next prime is 10151511553. The reversal of 10151511552 is 25511515101.

It is a happy number.

10151511552 is a `hidden beast` number, since 10 + 1 + 51 + 51 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (10151511551) and next prime (10151511553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151511551) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18030823 + ... + 18031385.

Almost surely, 2^10151511552 is an apocalyptic number.

10151511552 is a gapful number since it is divisible by the number (12) 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 10151511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481567104).

10151511552 is an abundant number, since it is smaller than the sum of its proper divisors (26811622656).

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

10151511552 is a wasteful number, since it uses less digits than its factorization.

10151511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 10151511552 in words is "ten billion, one hundred fifty-one million, five hundred eleven thousand, five hundred fifty-two".