137505513 has 8 divisors (see below), whose sum is σ = 187812576. Its totient is φ = 89434400.

The previous prime is 137505509. The next prime is 137505517. The reversal of 137505513 is 315505731.

It is an interprime number because it is at equal distance from previous prime (137505509) and next prime (137505517).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137505513 - 2² = 137505509 is a prime.

It is a super-2 number, since 2×137505513² = 37815532210786338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137505517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558843 + ... + 559088.

It is an arithmetic number, because the mean of its divisors is an integer number (23476572).

Almost surely, 2^137505513 is an apocalyptic number.

It is an amenable number.

137505513 is a deficient number, since it is larger than the sum of its proper divisors (50307063).

137505513 is a wasteful number, since it uses less digits than its factorization.

137505513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117975.

The product of its (nonzero) digits is 7875, while the sum is 30.

The square root of 137505513 is about 11726.2744723122. The cubic root of 137505513 is about 516.1469557697.

The spelling of 137505513 in words is "one hundred thirty-seven million, five hundred five thousand, five hundred thirteen".