214012004514525 has 240 divisors, whose sum is σ = 457469645783040. Its totient is φ = 96884144323200.

The previous prime is 214012004514479. The next prime is 214012004514541. The reversal of 214012004514525 is 525415400210412.

214012004514525 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 120 + 0 + 4 + 5 + 1 + 4 + 525 = 666.

It is not a de Polignac number, because 214012004514525 - 2¹⁵ = 214012004481757 is a prime.

It is a super-2 number, since 2×214012004514525² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214012004514525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 889346772 + ... + 889587378.

It is an arithmetic number, because the mean of its divisors is an integer number (1906123524096).

Almost surely, 2^{214012004514525} is an apocalyptic number.

214012004514525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214012004514525 is an abundant number, since it is smaller than the sum of its proper divisors (243457641268515).

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

214012004514525 is a wasteful number, since it uses less digits than its factorization.

214012004514525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241246 (or 241232 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 214012004514525 its reverse (525415400210412), we get a palindrome (739427404724937).

The spelling of 214012004514525 in words is "two hundred fourteen trillion, twelve billion, four million, five hundred fourteen thousand, five hundred twenty-five".