2534830173225 has 243 divisors, whose sum is σ = 5393432001477. Its totient is φ = 1134706728960.

The previous prime is 2534830173217. The next prime is 2534830173229. The reversal of 2534830173225 is 5223710384352.

It is a happy number.

The square root of 2534830173225 is 1592115.

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

2534830173225 is a `hidden beast` number, since 2 + 53 + 4 + 8 + 301 + 73 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622904513049 + 1911925660176 = 789243^2 + 1382724^2 .

It is not a de Polignac number, because 2534830173225 - 2³ = 2534830173217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2534830173229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9863152297 + ... + 9863152553.

Almost surely, 2^{2534830173225} is an apocalyptic number.

2534830173225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2534830173225 is the 1592115-th square number.

2534830173225 is the 796058-th centered octagonal number.

It is an amenable number.

2534830173225 is an abundant number, since it is smaller than the sum of its proper divisors (2858601828252).

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

2534830173225 is an equidigital number, since it uses as much as digits as its factorization.

2534830173225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2534830173225 in words is "two trillion, five hundred thirty-four billion, eight hundred thirty million, one hundred seventy-three thousand, two hundred twenty-five".