1353252541 has 16 divisors (see below), whose sum is σ = 1468684800. Its totient is φ = 1243427328.

The previous prime is 1353252499. The next prime is 1353252553. The reversal of 1353252541 is 1452523531.

It is not a de Polignac number, because 1353252541 - 2¹³ = 1353244349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353252841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57165 + ... + 77293.

It is an arithmetic number, because the mean of its divisors is an integer number (91792800).

Almost surely, 2^1353252541 is an apocalyptic number.

It is an amenable number.

1353252541 is a deficient number, since it is larger than the sum of its proper divisors (115432259).

1353252541 is a wasteful number, since it uses less digits than its factorization.

1353252541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268.

The product of its digits is 18000, while the sum is 31.

The square root of 1353252541 is about 36786.5809908994. The cubic root of 1353252541 is about 1106.0963276128.

The spelling of 1353252541 in words is "one billion, three hundred fifty-three million, two hundred fifty-two thousand, five hundred forty-one".