2253097065024 has 567 divisors, whose sum is σ = 7454984031963. Its totient is φ = 650175012864.

The previous prime is 2253097065013. The next prime is 2253097065029. The reversal of 2253097065024 is 4205607903522.

The square root of 2253097065024 is 1501032.

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

2253097065024 is a `hidden beast` number, since 2 + 2 + 53 + 0 + 97 + 0 + 6 + 502 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20343887424 + 2232753177600 = 142632^2 + 1494240^2 .

It is not an unprimeable number, because it can be changed into a prime (2253097065029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7961473587 + ... + 7961473869.

Almost surely, 2^{2253097065024} is an apocalyptic number.

2253097065024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2253097065024 is the 1501032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253097065024

2253097065024 is an abundant number, since it is smaller than the sum of its proper divisors (5201886966939).

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

2253097065024 is a wasteful number, since it uses less digits than its factorization.

2253097065024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2253097065024 in words is "two trillion, two hundred fifty-three billion, ninety-seven million, sixty-five thousand, twenty-four".