1502056141056 has 189 divisors, whose sum is σ = 4496895991861. Its totient is φ = 500508896256.

The previous prime is 1502056140961. The next prime is 1502056141109. The reversal of 1502056141056 is 6501416502051.

The square root of 1502056141056 is 1225584.

It is a perfect power (a square), and thus also a powerful number.

1502056141056 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 0 + 561 + 41 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51438240000 + 1450617901056 = 226800^2 + 1204416^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1502056141056.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 529450870 + ... + 529453706.

Almost surely, 2^{1502056141056} is an apocalyptic number.

1502056141056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1502056141056 is the 1225584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1502056141056

1502056141056 is an abundant number, since it is smaller than the sum of its proper divisors (2994839850805).

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

1502056141056 is an frugal number, since it uses more digits than its factorization.

1502056141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 1502056141056 by its sum of digits (36), we get a square (54074021078016 = 7353504²).

1502056141056 divided by its sum of digits (36) gives a square (41723781696 = 204264²).

The spelling of 1502056141056 in words is "one trillion, five hundred two billion, fifty-six million, one hundred forty-one thousand, fifty-six".