507249157 has 2 divisors, whose sum is σ = 507249158. Its totient is φ = 507249156.

The previous prime is 507249143. The next prime is 507249191. The reversal of 507249157 is 751942705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 487482241 + 19766916 = 22079^2 + 4446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-507249157 is a prime.

It is a super-3 number, since 3×507249157³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (507249257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253624578 + 253624579.

It is an arithmetic number, because the mean of its divisors is an integer number (253624579).

Almost surely, 2^507249157 is an apocalyptic number.

It is an amenable number.

507249157 is a deficient number, since it is larger than the sum of its proper divisors (1).

507249157 is an equidigital number, since it uses as much as digits as its factorization.

507249157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 507249157 is about 22522.1925442440. The cubic root of 507249157 is about 797.5179096026.

The spelling of 507249157 in words is "five hundred seven million, two hundred forty-nine thousand, one hundred fifty-seven".