51190152552 has 672 divisors, whose sum is σ = 185746693440. Its totient is φ = 12933043200.

The previous prime is 51190152551. The next prime is 51190152553. The reversal of 51190152552 is 25525109115.

It is a happy number.

51190152552 is a `hidden beast` number, since 5 + 1 + 1 + 90 + 15 + 2 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (51190152551) and next prime (51190152553).

It is a super-2 number, since 2×51190152552² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51190152551) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 212407152 + ... + 212407392.

It is an arithmetic number, because the mean of its divisors is an integer number (276408770).

Almost surely, 2^51190152552 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 51190152552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92873346720).

51190152552 is an abundant number, since it is smaller than the sum of its proper divisors (134556540888).

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

51190152552 is a wasteful number, since it uses less digits than its factorization.

51190152552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

It can be divided in two parts, 511901 and 52552, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 51190152552 in words is "fifty-one billion, one hundred ninety million, one hundred fifty-two thousand, five hundred fifty-two".