1002713413 has 8 divisors (see below), whose sum is σ = 1100220408. Its totient is φ = 908117184.

The previous prime is 1002713399. The next prime is 1002713419. The reversal of 1002713413 is 3143172001.

It can be written as a sum of positive squares in 4 ways, for example, as 33200644 + 969512769 = 5762^2 + 31137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1002713413 - 2⁵ = 1002713381 is a prime.

It is a super-2 number, since 2×1002713413² = 2010868377220217138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002713419) 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, 726970 + ... + 728347.

It is an arithmetic number, because the mean of its divisors is an integer number (137527551).

Almost surely, 2^1002713413 is an apocalyptic number.

1002713413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002713413 is a deficient number, since it is larger than the sum of its proper divisors (97506995).

1002713413 is a wasteful number, since it uses less digits than its factorization.

1002713413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455383.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1002713413 is about 31665.6503643933. The cubic root of 1002713413 is about 1000.9036541632.

Adding to 1002713413 its reverse (3143172001), we get a palindrome (4145885414).

It can be divided in two parts, 100271 and 3413, that added together give a square (103684 = 322²).

The spelling of 1002713413 in words is "one billion, two million, seven hundred thirteen thousand, four hundred thirteen".