1505131680 has 96 divisors (see below), whose sum is σ = 5105890944. Its totient is φ = 370492416.

The previous prime is 1505131679. The next prime is 1505131717. The reversal of 1505131680 is 861315051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114364 + ... + 126843.

It is an arithmetic number, because the mean of its divisors is an integer number (53186364).

Almost surely, 2^1505131680 is an apocalyptic number.

1505131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505131680 is an abundant number, since it is smaller than the sum of its proper divisors (3600759264).

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

1505131680 is a wasteful number, since it uses less digits than its factorization.

1505131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241238 (or 241230 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1505131680 is about 38796.0266006714. The cubic root of 1505131680 is about 1146.0181583276.

The spelling of 1505131680 in words is "one billion, five hundred five million, one hundred thirty-one thousand, six hundred eighty".