1264216541 has 32 divisors (see below), whose sum is σ = 1502392320. Its totient is φ = 1041594624.

The previous prime is 1264216531. The next prime is 1264216561. The reversal of 1264216541 is 1456124621.

It is not a de Polignac number, because 1264216541 - 2⁶ = 1264216477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1264216498 and 1264216507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264216531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4806776 + ... + 4807038.

It is an arithmetic number, because the mean of its divisors is an integer number (46949760).

Almost surely, 2^1264216541 is an apocalyptic number.

It is an amenable number.

1264216541 is a deficient number, since it is larger than the sum of its proper divisors (238175779).

1264216541 is a wasteful number, since it uses less digits than its factorization.

1264216541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its digits is 11520, while the sum is 32.

The square root of 1264216541 is about 35555.8228845853. The cubic root of 1264216541 is about 1081.2857745923.

The spelling of 1264216541 in words is "one billion, two hundred sixty-four million, two hundred sixteen thousand, five hundred forty-one".