52577050037148 has 384 divisors, whose sum is σ = 180547984189440. Its totient is φ = 12836849725440.

The previous prime is 52577050037137. The next prime is 52577050037159. The reversal of 52577050037148 is 84173005077525.

52577050037148 is a `hidden beast` number, since 5 + 2 + 57 + 70 + 500 + 3 + 7 + 14 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52577050037137) and next prime (52577050037159).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52577050037094 and 52577050037103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7612215 + ... + 12771057.

It is an arithmetic number, because the mean of its divisors is an integer number (470177042160).

Almost surely, 2^{52577050037148} 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 52577050037148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90273992094720).

52577050037148 is an abundant number, since it is smaller than the sum of its proper divisors (127970934152292).

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

52577050037148 is a wasteful number, since it uses less digits than its factorization.

52577050037148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158954 (or 5158946 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 52577050037148 in words is "fifty-two trillion, five hundred seventy-seven billion, fifty million, thirty-seven thousand, one hundred forty-eight".