1052541215406 has 128 divisors (see below), whose sum is σ = 2474781120000. Its totient is φ = 330671911680.

The previous prime is 1052541215357. The next prime is 1052541215419. The reversal of 1052541215406 is 6045121452501.

1052541215406 is a `hidden beast` number, since 1 + 0 + 52 + 5 + 41 + 21 + 540 + 6 = 666.

It is a super-2 number, since 2×1052541215406² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172856410 + ... + 172862498.

It is an arithmetic number, because the mean of its divisors is an integer number (19334227500).

Almost surely, 2^{1052541215406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052541215406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237390560000).

1052541215406 is an abundant number, since it is smaller than the sum of its proper divisors (1422239904594).

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

1052541215406 is a wasteful number, since it uses less digits than its factorization.

1052541215406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 1052541215406 its reverse (6045121452501), we get a palindrome (7097662667907).

The spelling of 1052541215406 in words is "one trillion, fifty-two billion, five hundred forty-one million, two hundred fifteen thousand, four hundred six".