1261641504 has 48 divisors (see below), whose sum is σ = 3392595360. Its totient is φ = 410288640.

The previous prime is 1261641499. The next prime is 1261641509. The reversal of 1261641504 is 4051461621.

It is an interprime number because it is at equal distance from previous prime (1261641499) and next prime (1261641509).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1261641509) 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, 156334 + ... + 164205.

It is an arithmetic number, because the mean of its divisors is an integer number (70679070).

Almost surely, 2^1261641504 is an apocalyptic number.

It is an amenable number.

1261641504 is an abundant number, since it is smaller than the sum of its proper divisors (2130953856).

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

1261641504 is a wasteful number, since it uses less digits than its factorization.

1261641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320593 (or 320585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1261641504 is about 35519.5932409142. The cubic root of 1261641504 is about 1080.5511316002.

The spelling of 1261641504 in words is "one billion, two hundred sixty-one million, six hundred forty-one thousand, five hundred four".