506461157304135 has 16 divisors (see below), whose sum is σ = 884004929112960. Its totient is φ = 245556924753440.

The previous prime is 506461157304131. The next prime is 506461157304139. The reversal of 506461157304135 is 531403751164605.

It is an interprime number because it is at equal distance from previous prime (506461157304131) and next prime (506461157304139).

It is not a de Polignac number, because 506461157304135 - 2² = 506461157304131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506461157304131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534730779545 + ... + 1534730779874.

It is an arithmetic number, because the mean of its divisors is an integer number (55250308069560).

Almost surely, 2^{506461157304135} is an apocalyptic number.

506461157304135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

506461157304135 is a deficient number, since it is larger than the sum of its proper divisors (377543771808825).

506461157304135 is a wasteful number, since it uses less digits than its factorization.

506461157304135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069461559438.

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 506461157304135 in words is "five hundred six trillion, four hundred sixty-one billion, one hundred fifty-seven million, three hundred four thousand, one hundred thirty-five".