2150519596225 has 243 divisors, whose sum is σ = 3704753120859. Its totient is φ = 1233238406400.

The previous prime is 2150519596151. The next prime is 2150519596261. The reversal of 2150519596225 is 5226959150512.

The square root of 2150519596225 is 1466465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1035104794801 + 1115414801424 = 1017401^2 + 1056132^2 .

It is not a de Polignac number, because 2150519596225 - 2³¹ = 2148372112577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7339657179 + ... + 7339657471.

Almost surely, 2^{2150519596225} is an apocalyptic number.

2150519596225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2150519596225 is the 1466465-th square number.

2150519596225 is the 733233-rd centered octagonal number.

It is an amenable number.

2150519596225 is a deficient number, since it is larger than the sum of its proper divisors (1554233524634).

2150519596225 is a wasteful number, since it uses less digits than its factorization.

2150519596225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 52.

The spelling of 2150519596225 in words is "two trillion, one hundred fifty billion, five hundred nineteen million, five hundred ninety-six thousand, two hundred twenty-five".