1525005340001 has 64 divisors (see below), whose sum is σ = 1846537814016. Its totient is φ = 1241205638400.

The previous prime is 1525005339953. The next prime is 1525005340009. The reversal of 1525005340001 is 1000435005251.

It is not a de Polignac number, because 1525005340001 - 2¹⁰ = 1525005338977 is a prime.

It is a super-2 number, since 2×1525005340001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1525005340009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185001986 + ... + 185010228.

It is an arithmetic number, because the mean of its divisors is an integer number (28852153344).

Almost surely, 2^{1525005340001} is an apocalyptic number.

1525005340001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1525005340001 is a deficient number, since it is larger than the sum of its proper divisors (321532474015).

1525005340001 is a wasteful number, since it uses less digits than its factorization.

1525005340001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622.

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 1525005340001 in words is "one trillion, five hundred twenty-five billion, five million, three hundred forty thousand, one".