1395213520 has 40 divisors (see below), whose sum is σ = 3251878920. Its totient is φ = 556707840.

The previous prime is 1395213503. The next prime is 1395213527. The reversal of 1395213520 is 253125931.

It can be written as a sum of positive squares in 4 ways, for example, as 494973504 + 900240016 = 22248^2 + 30004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395213527) 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, 11400 + ... + 54040.

It is an arithmetic number, because the mean of its divisors is an integer number (81296973).

Almost surely, 2^1395213520 is an apocalyptic number.

1395213520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395213520 is an abundant number, since it is smaller than the sum of its proper divisors (1856665400).

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

1395213520 is a wasteful number, since it uses less digits than its factorization.

1395213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43063 (or 43057 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 1395213520 is about 37352.5570744494. The cubic root of 1395213520 is about 1117.4125858551.

It can be divided in two parts, 13952 and 13520, that added together give a palindrome (27472).

The spelling of 1395213520 in words is "one billion, three hundred ninety-five million, two hundred thirteen thousand, five hundred twenty".