51642126672552 has 96 divisors (see below), whose sum is σ = 150624303309480. Its totient is φ = 15889733867520.

The previous prime is 51642126672547. The next prime is 51642126672557. The reversal of 51642126672552 is 25527662124615.

51642126672552 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 2 + 1 + 26 + 67 + 2 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (51642126672547) and next prime (51642126672557).

It can be written as a sum of positive squares in 4 ways, for example, as 42794440728516 + 8847685944036 = 6541746^2 + 2974506^2 .

It is not an unprimeable number, because it can be changed into a prime (51642126672557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135695652 + ... + 136075692.

Almost surely, 2^{51642126672552} is an apocalyptic number.

51642126672552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51642126672552 is an abundant number, since it is smaller than the sum of its proper divisors (98982176636928).

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

51642126672552 is a wasteful number, since it uses less digits than its factorization.

51642126672552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525243 (or 525236 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 51642126672552 in words is "fifty-one trillion, six hundred forty-two billion, one hundred twenty-six million, six hundred seventy-two thousand, five hundred fifty-two".