Search a number
-
+
25132061520 = 243251719532039
BaseRepresentation
bin10111011001111111…
…001101001101010000
32101212111102000011100
4113121333031031100
5402432301432040
615313455144400
71546536666246
oct273177151520
971774360140
1025132061520
11a727436885
124a54815100
1324a69c4427
141305b22796
159c15abb30
hex5d9fcd350

25132061520 has 480 divisors, whose sum is σ = 95892076800. Its totient is φ = 5860048896.

The previous prime is 25132061509. The next prime is 25132061531. The reversal of 25132061520 is 2516023152.

It is a happy number.

25132061520 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 20 + 615 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (25132061509) and next prime (25132061531).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12324661 + ... + 12326699.

It is an arithmetic number, because the mean of its divisors is an integer number (199775160).

Almost surely, 225132061520 is an apocalyptic number.

25132061520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25132061520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47946038400).

25132061520 is an abundant number, since it is smaller than the sum of its proper divisors (70760015280).

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

25132061520 is a wasteful number, since it uses less digits than its factorization.

25132061520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 25132061520 its reverse (2516023152), we get a palindrome (27648084672).

The spelling of 25132061520 in words is "twenty-five billion, one hundred thirty-two million, sixty-one thousand, five hundred twenty".