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505031137 = 13311797001
BaseRepresentation
bin11110000110100…
…010100111100001
31022012022020110221
4132012202213201
52013241444022
6122040323041
715341456662
oct3606424741
91265266427
10505031137
1123a093406
12121173481
13808270c0
144b105369
152e50dcc7
hex1e1a29e1

505031137 has 16 divisors (see below), whose sum is σ = 564641280. Its totient is φ = 448560000.

The previous prime is 505031129. The next prime is 505031147. The reversal of 505031137 is 731130505.

It is a cyclic number.

It is not a de Polignac number, because 505031137 - 23 = 505031129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505031147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68637 + ... + 75637.

It is an arithmetic number, because the mean of its divisors is an integer number (35290080).

Almost surely, 2505031137 is an apocalyptic number.

It is an amenable number.

505031137 is a deficient number, since it is larger than the sum of its proper divisors (59610143).

505031137 is a wasteful number, since it uses less digits than its factorization.

505031137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 505031137 is about 22472.8978327229. The cubic root of 505031137 is about 796.3537905478.

The spelling of 505031137 in words is "five hundred five million, thirty-one thousand, one hundred thirty-seven".

Divisors: 1 13 31 179 403 2327 5549 7001 72137 91013 217031 1253179 2821403 16291327 38848549 505031137