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2535123825 = 345213235379
BaseRepresentation
bin1001011100011010…
…1110101101110001
320112200021122010000
42113012232231301
520142442430300
61055320300213
7116552124363
oct22706565561
96480248100
102535123825
111091014063
125a9011669
133152a9690
141a0994d33
15ec867c00
hex971aeb71

2535123825 has 240 divisors, whose sum is σ = 5444651520. Its totient is φ = 1156446720.

The previous prime is 2535123817. The next prime is 2535123889. The reversal of 2535123825 is 5283215352.

It is not a de Polignac number, because 2535123825 - 23 = 2535123817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2535123825.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32090136 + ... + 32090214.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 22535123825 is an apocalyptic number.

2535123825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2535123825 is an abundant number, since it is smaller than the sum of its proper divisors (2909527695).

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

2535123825 is a wasteful number, since it uses less digits than its factorization.

2535123825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2535123825 is about 50350.0131578930. The cubic root of 2535123825 is about 1363.5353206040.

The spelling of 2535123825 in words is "two billion, five hundred thirty-five million, one hundred twenty-three thousand, eight hundred twenty-five".