22251150513541 has 16 divisors (see below), whose sum is σ = 22386623968240. Its totient is φ = 22116023930880.

The previous prime is 22251150513517. The next prime is 22251150513551. The reversal of 22251150513541 is 14531505115222.

It can be written as a sum of positive squares in 8 ways, for example, as 1580380516 + 22249570133025 = 39754^2 + 4716945^2 .

It is a cyclic number.

It is not a de Polignac number, because 22251150513541 - 2²³ = 22251142124933 is a prime.

It is a super-2 number, since 2×22251150513541² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22251150513541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22251150513551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959213755 + ... + 959236951.

It is an arithmetic number, because the mean of its divisors is an integer number (1399163998015).

Almost surely, 2^{22251150513541} is an apocalyptic number.

It is an amenable number.

22251150513541 is a deficient number, since it is larger than the sum of its proper divisors (135473454699).

22251150513541 is a wasteful number, since it uses less digits than its factorization.

22251150513541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30424.

The product of its (nonzero) digits is 60000, while the sum is 37.

Adding to 22251150513541 its reverse (14531505115222), we get a palindrome (36782655628763).

The spelling of 22251150513541 in words is "twenty-two trillion, two hundred fifty-one billion, one hundred fifty million, five hundred thirteen thousand, five hundred forty-one".