2632814534025 has 243 divisors, whose sum is σ = 5237834001309. Its totient is φ = 1263599101440.

The previous prime is 2632814534023. The next prime is 2632814534029. The reversal of 2632814534025 is 5204354182362.

The square root of 2632814534025 is 1622595.

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

2632814534025 is a `hidden beast` number, since 2 + 6 + 3 + 281 + 4 + 5 + 340 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 1989597701961 + 643216832064 = 1410531^2 + 802008^2 .

It is not a de Polignac number, because 2632814534025 - 2¹ = 2632814534023 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 (2632814534023) 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, 16769519247 + ... + 16769519403.

Almost surely, 2^{2632814534025} is an apocalyptic number.

2632814534025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2632814534025 is the 1622595-th square number.

2632814534025 is the 811298-th centered octagonal number.

It is an amenable number.

2632814534025 is a deficient number, since it is larger than the sum of its proper divisors (2605019467284).

2632814534025 is a wasteful number, since it uses less digits than its factorization.

2632814534025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2632814534025 in words is "two trillion, six hundred thirty-two billion, eight hundred fourteen million, five hundred thirty-four thousand, twenty-five".