1006502253414 has 64 divisors (see below), whose sum is σ = 2372336418816. Its totient is φ = 278720902944.

The previous prime is 1006502253413. The next prime is 1006502253433. The reversal of 1006502253414 is 4143522056001.

1006502253414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006502253414² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006502253413) 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, 2271822 + ... + 2678465.

It is an arithmetic number, because the mean of its divisors is an integer number (37067756544).

Almost surely, 2^{1006502253414} is an apocalyptic number.

1006502253414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1006502253414 is an abundant number, since it is smaller than the sum of its proper divisors (1365834165402).

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

1006502253414 is a wasteful number, since it uses less digits than its factorization.

1006502253414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950449.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1006502253414 in words is "one trillion, six billion, five hundred two million, two hundred fifty-three thousand, four hundred fourteen".