1263521413 has 64 divisors (see below), whose sum is σ = 1776660480. Its totient is φ = 867456000.

The previous prime is 1263521411. The next prime is 1263521419. The reversal of 1263521413 is 3141253621.

It is a cyclic number.

It is not a de Polignac number, because 1263521413 - 2¹ = 1263521411 is a prime.

It is a super-2 number, since 2×1263521413² = 3192972722219033138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263521411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2511720 + ... + 2512222.

It is an arithmetic number, because the mean of its divisors is an integer number (27760320).

Almost surely, 2^1263521413 is an apocalyptic number.

It is an amenable number.

1263521413 is a deficient number, since it is larger than the sum of its proper divisors (513139067).

1263521413 is a wasteful number, since it uses less digits than its factorization.

1263521413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its digits is 4320, while the sum is 28.

The square root of 1263521413 is about 35546.0463764959. The cubic root of 1263521413 is about 1081.0875570146.

It can be divided in two parts, 126352 and 1413, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 1263521413 in words is "one billion, two hundred sixty-three million, five hundred twenty-one thousand, four hundred thirteen".