1315413 has 32 divisors (see below), whose sum is σ = 2196480. Its totient is φ = 771120.

The previous prime is 1315399. The next prime is 1315441. The reversal of 1315413 is 3145131.

Added to its reverse (3145131) it gives a square (4460544 = 2112²).

It is not a de Polignac number, because 1315413 - 2⁴ = 1315397 is a prime.

It is a super-2 number, since 2×1315413² = 3460622721138, which contains 22 as substring.

1315413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315453) 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, 12720 + ... + 12822.

It is an arithmetic number, because the mean of its divisors is an integer number (68640).

2^1315413 is an apocalyptic number.

It is an amenable number.

1315413 is a deficient number, since it is larger than the sum of its proper divisors (881067).

1315413 is a wasteful number, since it uses less digits than its factorization.

1315413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 1315413 is about 1146.9145565385. The cubic root of 1315413 is about 109.5689188955.

Adding to 1315413 its reverse (3145131), we get a square (4460544 = 2112²).

It can be divided in two parts, 1315 and 413, that added together give a cube (1728 = 12³).

The spelling of 1315413 in words is "one million, three hundred fifteen thousand, four hundred thirteen".