2053577331702 has 288 divisors, whose sum is σ = 5388429290400. Its totient is φ = 562333943808.

The previous prime is 2053577331599. The next prime is 2053577331769. The reversal of 2053577331702 is 2071337753502.

2053577331702 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 577 + 3 + 3 + 1 + 70 + 2 = 666.

2053577331702 is an astonishing number since 2053577331702 = 331702 + ... + 2053577.

It is a super-3 number, since 3×2053577331702³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62000698 + ... + 62033810.

It is an arithmetic number, because the mean of its divisors is an integer number (18709823925).

Almost surely, 2^{2053577331702} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053577331702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694214645200).

2053577331702 is an abundant number, since it is smaller than the sum of its proper divisors (3334851958698).

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

2053577331702 is a wasteful number, since it uses less digits than its factorization.

2053577331702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33232 (or 33216 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 2053577331702 in words is "two trillion, fifty-three billion, five hundred seventy-seven million, three hundred thirty-one thousand, seven hundred two".