152533051251210 has 288 divisors, whose sum is σ = 466011832995072. Its totient is φ = 34511389113600.

The previous prime is 152533051251199. The next prime is 152533051251211. The reversal of 152533051251210 is 12152150335251.

152533051251210 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 330 + 51 + 251 + 21 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (152533051251211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2007424879 + ... + 2007500861.

It is an arithmetic number, because the mean of its divisors is an integer number (1618096642344).

Almost surely, 2^{152533051251210} is an apocalyptic number.

152533051251210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152533051251210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233005916497536).

152533051251210 is an abundant number, since it is smaller than the sum of its proper divisors (313478781743862).

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

152533051251210 is a wasteful number, since it uses less digits than its factorization.

152533051251210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80618 (or 80608 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 152533051251210 in words is "one hundred fifty-two trillion, five hundred thirty-three billion, fifty-one million, two hundred fifty-one thousand, two hundred ten".